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Finding the Fourth Proportional to 5,354.88, 8,028 and 3,272.64

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Solution

The fourth proportional to 5,354.88, 8,028 and 3,272.64 is: 4,906.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.88 : 8,028 = 3,272.64 : x
  2. Step 2: Convert to fraction form
    5,354.88/8,028 = 3,272.64/x
  3. Step 3: Cross multiply
    5,354.88x = 8,028 × 3,272.64
  4. Step 4: Simplify right side
    5,354.88x = 26,272,753.92
  5. Step 5: Solve for x
    x = 26,272,753.92/5,354.88
  6. Step 6: Final answer
    x = 4,906.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.